In practice, \(S_\text{non-global}(t)\)  is computed separately for each
possible colour dipole, either incoming–incoming or incoming–final.
These contributions are independent of the jet rapidity meaning, in
particular, that the two possible incoming–final configurations are
equal.
One can then reconstruct the two Born channels \(\delta \)  from the
dipole contributions as done in [1]}.
This procedure allows one to recover the full-\(N_c\)  result at least
for the first non-trivial term of the expansion in \(\alpha _s\) .
We finally note that the numerical procedure described
in [2]} introduces an angular cut-off
\(\theta _\text{min}\)  to regulate the collinear divergence. We have
performed 4 independent runs with
\(\theta _\text{min}=\lbrace 0.008,0.004,0.002,0.001\rbrace \)  and extrapolated the
result to \(\theta _\text{min}\rightarrow 0\)  using the same approach as
in [3]}.
